The specials are full of the incisive social commentary Mr. Chappelle is known for, touching on such sensitive issues as Bill Cosby’s legacy. Mr. Kimmel asked his fellow comic how he decided which subjects to take on.

JIMMY KIMMEL: The way you spoke about Bill Cosby in the special was something that is just such a dangerous line that you walked, and you walked it so well, and it’s so funny. Do you look for subjects like that, or do you just feel compelled to speak about them?

DAVE CHAPPELLE: Those are big enough that you wouldn’t have to look. I think it’s more of a compulsion. Like, sometimes something will happen, and you’ll feel a certain way about it. Like when I’m walking down the street, they’ll be like, ‘Dave, that’s right, you tell it how it is.’ Not really! I don’t really know what it is. I just say what it feels like. You know what I mean? I don’t know what it is.

Eyes and Ears — but What About Thumbs?

Ivanka Trump will be receiving an office in the White House and a security clearance, according to news reports. Her attorney said she would “continue to be the eyes and ears of her father and provide candid advice.” Here’s what the late-night hosts said:

“I’m glad Ivanka is going to be her father’s ‘eyes and ears.’ Now what we all have to do is get her to take over his mouth and his tweeting thumb, and we’ll be fine.” — JAMES CORDEN

“Ivanka Trump is reportedly getting an office in the White House in addition to security clearance and government-issued communication devices. Even more unbelievable, so is Donald Trump.” — SETH MEYERS

Corden’s Trump Musical Is an Inspiration on Twitter

Earlier this week, James Corden did a sketch imagining the Trump administration’s major figures as children, titling it “Donald: The Musical.” That apparently spawned a whole range of ideas for other Trump-related Broadway shows. So on Tuesday, Mr. Corden read off his favorites. Here they are:

The Punchiest Punchlines (Deep State Edition)

“White House staffers are so afraid that ‘a “deep state” of career military and intelligence officials is out to destroy them.’ Now, what is a deep state? I thought it was what you achieved after doing three bong hits and watching ‘Planet Earth.’ Very deep, very deep. Those lizards are going to get caught by those snakes!” — STEPHEN COLBERT

“I think this paranoia is just the frustration every new administration has with Washington, D.C. It happens every time, you know? You went to Washington, you went to work for Trump because you want to tear down the government. Now you have to deal with it — now you are the government. It’s like a dog who spent his whole life chasing a car. Now he has to drive the car. We’re not happy about it either, by the way. Remember, we’re in the back seat of a car being driven by a dog now.” — STEPHEN COLBERT

“A man recently created a sex robot called Silicon Samantha that can switch between family mode and sex mode. And I’m guessing that man doesn’t have either one.” — SETH MEYERS

The Bits Worth Watching

Jimmy Fallon played the “Tonight Show” version of charades on Tuesday with his guests, Jessica Chastain and Joe Manganiello.

What We’re Excited About on Wednesday Night

Woody Harrelson will be on “The Tonight Show” on Wednesday, presumably to discuss his new movie, “Wilson.” But he’s probably going to get asked a few questions about some other news: The famously pro-pot actor recently announced that he was cutting marijuana out of his diet.

Also, Check This Out

Trisha Brown performing “Watermotor” in 1978.

Lois Greenfield

The influential dancer and choreographer Trisha Brown died on Saturday, and the tributes have been pouring in. The Times’s chief dance critic, Alastair Macaulay, weighed in with an appreciation of his own on Tuesday. He writes that for Ms. Brown, “wit and playfulness came naturally, even though her work could be earnest or seemingly cool.”